464312426560 has 112 divisors (see below), whose sum is σ = 1171154101680. Its totient is φ = 174729461760.

The previous prime is 464312426519. The next prime is 464312426581. The reversal of 464312426560 is 65624213464.

It can be written as a sum of positive squares in 8 ways, for example, as 5810098176 + 458502328384 = 76224^2 + 677128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14612290 + ... + 14644030.

Almost surely, 2^464312426560 is an apocalyptic number.

464312426560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464312426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585577050840).

464312426560 is an abundant number, since it is smaller than the sum of its proper divisors (706841675120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464312426560 is a wasteful number, since it uses less digits than its factorization.

464312426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34464 (or 34454 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 464312426560 in words is "four hundred sixty-four billion, three hundred twelve million, four hundred twenty-six thousand, five hundred sixty".